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Finding the Third Proportional to 2,179.69 and 4,641.19

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Solution

The third proportional to 2,179.69 and 4,641.19 is: 9,882.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,179.69 : 4,641.19 = 4,641.19 : x
  2. Step 2: Convert to fraction form
    2,179.69/4,641.19 = 4,641.19/x
  3. Step 3: Cross multiply
    2,179.69x = 4,641.19 × 4,641.19
  4. Step 4: Simplify right side
    2,179.69x = 21,540,621.41
  5. Step 5: Solve for x
    x = 21,540,621.41/2,179.69
  6. Step 6: Final answer
    x = 9,882.44

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.